Hyperbolic stefan problem in a curvilinear sector

• Datum: 1997
• Hauptverfasser: Berehova, H. I., Kirilich, V. M., Берегова, Г. І., Кирилич, В. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5173
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The problem with unknown boundaries for a first-order semilinear hyperbolic system is studied in the case where the curve of definition of the initial conditions degenerates to a point. An existence and uniqueness theorem for a classical solution of the problem is proved for small t.